Practice the problems of Math in Focus Grade 4 Workbook Answer Key Chapter 6 Practice 7 Fraction of a Set to score better marks in the exam.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set
Check (✓) the box next to the group of shapes that show \(\frac{3}{5}\) shaded.
Question 1.
Answer:
Triangles and squares are shaded in \(\frac{3}{5}\).
Explanation:
Total number of rhombus = 8.
Number of rhombus shaded = Total number of rhombus × \(\frac{3}{5}\)
= 8 × \(\frac{3}{5}\)
= \(\frac{24}{5}\)
Total number of squares = 10.
Number of squares shaded = Total number of squares × \(\frac{3}{5}\)
= 10 × \(\frac{3}{5}\)
= 2 × 3
= 6.
Total number of triangles = 10.
Number of triangles shaded = Total number of triangles × \(\frac{3}{5}\)
= 15 × \(\frac{3}{5}\)
= 3 × 3
= 6.
What fraction of each set of shapes is shaded? Express your answer in simplest form.
Example
Question 2.
Answer:
Fraction of shaded squares = 2 ÷ 3 or \(\frac{2}{3}\)
Explanation:
Total number of squares = 15.
Number of squares shaded = 10.
Fraction of shaded squares = Number of squares shaded ÷ Total number of squares
= 10 ÷ 15
= 2 ÷ 3 or \(\frac{2}{3}\)
Question 3.
Answer:
Fraction of shaded triangles = 2 ÷ 5 or \(\frac{2}{5}\)
Explanation:
Total number of triangles = 10.
Number of triangles shaded = 4.
Fraction of shaded triangles = Number of triangles shaded ÷ Total number of triangles
= 4 ÷ 10
= 2 ÷ 5 or \(\frac{2}{5}\)
Use a model to help you answer the question.
Example
Question 4.
Answer:
Explanation:
3 ÷ 4 × 16 = 3 × 4 = 12.
4 units = 16.
1 unit = 4.
3 units = 12.
So, \(\frac{3}{4}\)× 16 = 3 × 4 = 12.
Question 5.
Answer:
Explanation:
5 units = 25.
1 unit = 5.
2 units = 10.
So, \(\frac{2}{5}\) × 25 = 10.
Use a model to help you answer the question.
Question 6.
Answer:
Explanation:
6 units = 30.
1 unit = 5.
5 units = 25.
So, \(\frac{5}{6}\)× 30 = 25.
Solve.
Example
\(\frac{2}{3}\) × 15
\(\frac{2}{3}\) of 15 is 10
Question 7.
\(\frac{3}{4}\) × 12
\(\frac{2}{3}\) of 12 is ____
Answer:
\(\frac{3}{4}\) × 12
\(\frac{2}{3}\) of 12 is 8.
Explanation:
\(\frac{3}{4}\) × 12
\(\frac{2}{3}\) of 12 = 2 × 4 = 8.
Question 8.
\(\frac{2}{5}\) × 20
\(\frac{2}{5}\) of 20 is ____
Answer:
\(\frac{2}{5}\) × 20
\(\frac{2}{5}\) of 20 is 8.
Explanation:
\(\frac{2}{5}\) × 20
\(\frac{2}{5}\) of 20 = 2 × 4 = 8.
Question 9.
\(\frac{6}{7}\) × 42
\(\frac{6}{7}\) of 42 is ____
Answer:
\(\frac{6}{7}\) × 42
\(\frac{6}{7}\) of 42 is 36.
Explanation:
\(\frac{6}{7}\) × 42
\(\frac{6}{7}\) of 42 = 6 × 6 = 36.
Fill in the blanks to solve each problem.
Example
Question 10.
\(\frac{2}{3}\) of 24 = \(\frac{2}{3}\) × ____
= ____
= ____
= ____
Answer:
\(\frac{2}{3}\) of 24 = \(\frac{2}{3}\) × 24 = 16.
Explanation:
\(\frac{2}{3}\) of 24 = \(\frac{2}{3}\) × 24
= 2 × 8
= 16.
Question 11.
\(\frac{3}{4}\) of 32 = ___ × 32
= ____
= ____
= ____
Answer:
\(\frac{3}{4}\) of 32 = \(\frac{3}{4}\) × 32 = 24.
Explanation:
\(\frac{3}{4}\) of 32 = \(\frac{3}{4}\) × 32
= 3 × 8
= 24.
Write each answer in the box. Then solve the riddle.
Question 12.
Answer:
Explanation:
\(\frac{1}{4}\) × 28 = 1 × 7 = 7.
Question 13.
Answer:
Explanation:
\(\frac{2}{3}\) × 21 = 2 × 7 = 14.
Question 14.
Answer:
Explanation:
\(\frac{2}{5}\) × 50 = 2 × 10 = 20.
Question 15.
Answer:
Explanation:
\(\frac{3}{4}\) × 24 = 3 × 6 = 18.
Question 16.
Answer:
Explanation:
\(\frac{5}{6}\) × 30 = 5 × 5 = 25.
Question 17.
Answer:
Explanation:
\(\frac{6}{7}\) × 35 = 6 × 5 = 30.
18. Which animals often sleep about 18 to 20 hours a day?
Write the letters that match the answers to find out.
Answer:
Explanation: